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680 RAGG ET AL.: TECTONIC STRESSIN SICILY

[A]                       TOP VIEW                                  sedimentg, raniteand gabbrolayers,while the oceaniccrust
                                                                    hasgabbroandsedimenltayers.In theforearcbasinareasthe
   SOUTH                                                  NORTH     sedimentarycover is split into a carbonateand a slightly
      A'                                                         A  compactedsedimenltayer (Fig 1lb). The differentrocktypes
                                                                    are shown by different shadingsin Figure 11, and the
        B'                                                B         correspondingmaterial properties are listed in Table 3. To
                                                                    take into accountthe Malta Escarpment,the crustwas modeled
        Pantelleria Riff  Caltanissetta  Basin                      as a very weak zone with a stronglyreducedYoung's modulus,
                                           Calabrian Arc            which was 1% the value of the surroundingmaterial [Spann et

        SedimentsCARBONTAES Metamorphic                             al., 1994].
                                                                       The translative degrees of freedom of the nodes at the
Gabbro
                                                                    bottom (the Moho) are fixed in vertical direction. The
[B]                         480 km                                  horizontal boundary conditions are set up by displacements
          MODEL CROSS SECTIONS                                      (see arrows in Figure 1l a). The displacementsat the model
                                                                    boundariesare chosenin sucha way that a uniform NNW-SSE
Figure 11. (a) Top view of the model.The differentshading           direction of SHmax is obtained for a homogeneousreference
indicatesdifferent rock types as given on section C-C'. The         model with no variation in thicknessand material properties.
                                                                    The far-field stress orientation along the northern boundary
white lines indicate the cross sections. The arrows show the        will be readjustedby regional crustalstressescausedby mantle
                                                                    diapir in the Tyrrhenian back arc basin.For uniform boundary
displacementsapplied at the model boundaries.(b) N-S cross          conditions this will be only modeled by the Moho
sectionsof the model for westernSicily (A-A'), centralSicily        topographywithout additional displacementdue to back arc
(B-B'), and the Ionian Sea (C-C'). The depth is four times
exaggerated.                                                        extension.

                                                                        This NNW-SSE far-field stress orientation is in accordance

                                                                    with the observed stressdata [World Stress Map Project;
                                                                    Zoback, 1992] and is interpreted to result from the collision
                                                                    of the Europeanand African plates [Richardsonet al., 1979;
                                                                    Miiller et al., 1992]. The displacementswere computedfrom
                                                                    geodeticstrain rate measurements[Ward, 1994] for the last 1
                                                                    million years. Since we use a linear elastic model, the stress
                                                                    orientationis dependenton the ratio of the displacementsat
                                                                    the model boundariesbut independentof the absolutevalues.
                                                                    Also, the opening of the Pantelleria Rift was modeled by
                                                                    displacements perpendicular to the rift axis. The
                                                                    displacements of 1 km represent the opening of the
                                                                    Pantelleria Rift in the last 1 million years [Reuther and
                                                                    Eisbacher, 1985; Reuther et al., 1993].

                                                                        The model allows us to discriminate between the influence

                                                                    of materialpropertiesand geometryand contributionfrom rift
                                                                    opening(1 km). For example, the model Siz36 was calculated
                                                                    with all elementssetto the samematerialproperties(Young's
                                                                    modulus (80 GPa) and Poisson's ratio (0.25)) and without rift

                                                                    opening.Thus the model consistsof a varyingMoho depthin
                                                                    a homogeneousfar-field stress,and the patternof the SHmax
                                                                    directionsis due to the variation of Moho depth. In this model
                                                                    SHmaxrotatesup to 40ø clockwisefrom the far-field direction
                                                                    in the area of northeasternSicily and Calabria, and it rotates
                                                                    -30øcounterclockwisein central and western Sicily (Figure
                                                                    12).

                                                                       In additionto the variation of the Moho depth, model siz50
                                                                    (Table 4 and Figure 12) takes into account the material
                                                                    propertiesof the different crust types. However, the rather
                                                                    moderatechangesin the Young% modulusdo not causemajor
                                                                    modificationsin comparisonto Siz36.

                                                                       In the next step (model siz35, Table 4 and Figure 12 ) the
                                                                    openingof the Pantelleria Rift System was consideredby a
                                                                    NE-SW displacementof the elements off the rift axis. This
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